406020 has 48 divisors (see below), whose sum is σ = 1165248. Its totient is φ = 105600.

The previous prime is 406013. The next prime is 406027. The reversal of 406020 is 20604.

It is an interprime number because it is at equal distance from previous prime (406013) and next prime (406027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 405987 and 406005.

It is not an unprimeable number, because it can be changed into a prime (406027) by changing a digit.

406020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3970 + ... + 4070.

It is an arithmetic number, because the mean of its divisors is an integer number (24276).

2⁴⁰⁶⁰²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582624).

406020 is an abundant number, since it is smaller than the sum of its proper divisors (759228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406020 is a wasteful number, since it uses less digits than its factorization.

406020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 406020 is about 637.1969868102. The cubic root of 406020 is about 74.0484221671.

Adding to 406020 its reverse (20604), we get a palindrome (426624).

The spelling of 406020 in words is "four hundred six thousand, twenty".